Answer:
The coordinates of the other endpoint are (2b-g,2m-r)
Step-by-step explanation:
Let
R (x,y) ----> the other endpoint of the segment
we have
M(b,m) and Q(g,r)
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
In this problem the midpoint between Q and R is equal to the point M
substitute
[tex](b,m)=(\frac{g+x}{2},\frac{r+y}{2})[/tex]
[tex]\frac{g+x}{2}=b[/tex] ----> [tex]x=2b-g[/tex]
[tex]\frac{r+y}{2}=m[/tex] ----> [tex]y=2m-r[/tex]
therefore
The coordinates of the other endpoint are (2b-g,2m-r)
